Affiliation:
1. Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University
Abstract
The main crux of this manuscript is to establish the existence of mild solutions for a class of semilinear $\psi-$Caputo-type fractional evolution equations in Banach spaces with non-local conditions. The proofs are based on some fixed point theorems, compact semigroup and some basic concepts of $\psi-$fractional analysis. As application, a nontrivial example is given to illustrate our theoretical results.
Subject
Applied Mathematics,Geometry and Topology,Mathematics (miscellaneous),Analysis
Reference36 articles.
1. [1] R.P. Agarwal, Y. Zhou, J. Wang and X. Luo, Fractional functional differential equations with causal operators in Banach spaces, Mathematical and Compututer Modelling, 54 (2011) 1440-1452.
2. [2] R.P. Agarwal, S.K. Ntouyas, B. Ahmad and A.K. Alzahrani, Hadamard-type fractional functional differential equations and inclusions with retarded and advanced arguments, Advances in Di?erence Equations, 1 (2006)1-15.
3. [3] R.P. Agarwal, S. Hristova and D. O'Regan, A survey of Lyapunov functions, stability and impulsive Caputo fractional di?erential equations, Fract. Calc. Appl. Anal, 19 (2016) 290-318.
4. [4] R. Almeida, Caputo fractional derivative of a function with respect to another function, Commun. Nonlinear Sci. Numer. Simul, 44 (2017) 460-481.
5. [5] R. Almeida, A.B. Malinowska and M.T.T. Monteiro, Fractional differential equations with a Caputo derivative with respect to a kernel function and their applications, Mathematical Methods in the Applied Sciences, 41(1)(2018) 336-352.
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